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Finding the Fourth Proportional to 6,144.67, 8,452.25 and 5,384.69

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Solution

The fourth proportional to 6,144.67, 8,452.25 and 5,384.69 is: 7,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.67 : 8,452.25 = 5,384.69 : x
  2. Step 2: Convert to fraction form
    6,144.67/8,452.25 = 5,384.69/x
  3. Step 3: Cross multiply
    6,144.67x = 8,452.25 × 5,384.69
  4. Step 4: Simplify right side
    6,144.67x = 45,512,728.76
  5. Step 5: Solve for x
    x = 45,512,728.76/6,144.67
  6. Step 6: Final answer
    x = 7,406.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.